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12011122210000 = 24542643745433
BaseRepresentation
bin1010111011001000111010…
…1011000011010011010000
31120112020210202110220122011
42232302032223003103100
53033242234241210000
641313500001352304
72346526543152514
oct256621653032320
946466722426564
1012011122210000
1139109853a38a1
12141ba04638694
1369184aa36034
142d74acbc2144
1515c6845a02ba
hexaec8eac34d0

12011122210000 has 100 divisors (see below), whose sum is σ = 29081868051412. Its totient is φ = 4804161408000.

The previous prime is 12011122209967. The next prime is 12011122210079. The reversal of 12011122210000 is 1222111021.

It can be written as a sum of positive squares in 10 ways, for example, as 3090578064016 + 8920544145984 = 1758004^2 + 2986728^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264347284 + ... + 264392716.

Almost surely, 212011122210000 is an apocalyptic number.

12011122210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011122210000 is an abundant number, since it is smaller than the sum of its proper divisors (17070745841412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011122210000 is an equidigital number, since it uses as much as digits as its factorization.

12011122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71898 (or 71877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011122210000 its reverse (1222111021), we get a palindrome (12012344321021).

The spelling of 12011122210000 in words is "twelve trillion, eleven billion, one hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 26437 45433 52874 90866 105748 132185 181732 211496 227165 264370 363464 422992 454330 528740 660925 726928 908660 1057480 1135825 1321850 1817320 2114960 2271650 2643700 3304625 3634640 4543300 5287400 5679125 6609250 9086600 10574800 11358250 13218500 16523125 18173200 22716500 26437000 28395625 33046250 45433000 52874000 56791250 66092500 90866000 113582500 132185000 227165000 264370000 454330000 1201112221 2402224442 4804448884 6005561105 9608897768 12011122210 19217795536 24022244420 30027805525 48044488840 60055611050 96088977680 120111222100 150139027625 240222444200 300278055250 480444888400 600556110500 750695138125 1201112221000 1501390276250 2402224442000 3002780552500 6005561105000 12011122210000